5-3(2x+11)=18-2(5-5(2x-1))

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Solution for 5-3(2x+11)=18-2(5-5(2x-1)) equation:


Simplifying
5 + -3(2x + 11) = 18 + -2(5 + -5(2x + -1))

Reorder the terms:
5 + -3(11 + 2x) = 18 + -2(5 + -5(2x + -1))
5 + (11 * -3 + 2x * -3) = 18 + -2(5 + -5(2x + -1))
5 + (-33 + -6x) = 18 + -2(5 + -5(2x + -1))

Combine like terms: 5 + -33 = -28
-28 + -6x = 18 + -2(5 + -5(2x + -1))

Reorder the terms:
-28 + -6x = 18 + -2(5 + -5(-1 + 2x))
-28 + -6x = 18 + -2(5 + (-1 * -5 + 2x * -5))
-28 + -6x = 18 + -2(5 + (5 + -10x))

Combine like terms: 5 + 5 = 10
-28 + -6x = 18 + -2(10 + -10x)
-28 + -6x = 18 + (10 * -2 + -10x * -2)
-28 + -6x = 18 + (-20 + 20x)

Combine like terms: 18 + -20 = -2
-28 + -6x = -2 + 20x

Solving
-28 + -6x = -2 + 20x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-20x' to each side of the equation.
-28 + -6x + -20x = -2 + 20x + -20x

Combine like terms: -6x + -20x = -26x
-28 + -26x = -2 + 20x + -20x

Combine like terms: 20x + -20x = 0
-28 + -26x = -2 + 0
-28 + -26x = -2

Add '28' to each side of the equation.
-28 + 28 + -26x = -2 + 28

Combine like terms: -28 + 28 = 0
0 + -26x = -2 + 28
-26x = -2 + 28

Combine like terms: -2 + 28 = 26
-26x = 26

Divide each side by '-26'.
x = -1

Simplifying
x = -1

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